Finding the Third Proportional to 6.31 and 6.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6.31 : 6.50 = 6.50 : x
2. Step 2: Convert to fraction form
   6.31/6.50 = 6.50/x
3. Step 3: Cross multiply
   6.31x = 6.50 × 6.50
4. Step 4: Simplify right side
   6.31x = 42.25
5. Step 5: Solve for x
   x = 42.25/6.31
6. Step 6: Final answer
   x = 6.69